Noncommutative Integration and Operator Theory

1. Auflage 2023
ISBN: 978-3-031-49656-1
Verlag: Springer Nature Switzerland

Buch, Englisch, Band 349, 577 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 885 g

Reihe: Progress in Mathematics

The purpose of this monograph is to provide a systematic account of the theory of noncommutative integration in semi-finite von Neumann algebras. It is designed to serve as an introductory graduate level text as well as a basic reference for more established mathematicians with interests in the continually expanding areas of noncommutative analysis and probability. Its origins lie in two apparently distinct areas of mathematical analysis: the theory of operator ideals going back to von Neumann and Schatten and the general theory of rearrangement invariant Banach lattices of measurable functions which has its roots in many areas of classical analysis related to the well-known Lp-spaces. A principal aim, therefore, is to present a general theory which contains each of these motivating areas as special cases.

Zielgruppe

Research

Autoren/Hrsg.

Dodds, Peter G.

Sukochev, Fedor A.

de Pagter, Ben

Fachgebiete

• Mathematik | Informatik Mathematik Geometrie Differentialgeometrie
• Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis

Inhaltsverzeichnis

- 1. A Review of Relevant Operator Theory. - 2. Measurable Operators. - 3. Singular Value Functions. - 4. Symmetric Spaces of t-Measurable Operators. - 5. Strongly Symmetric Spaces of t-Measurable Operators. - 6. Examples. - 7. Interpolation.

Über Autor(innen)

Peter Dodds is Emeritus Professor of Mathematics at Flinders University, Tonsley, Australia.

Ben de Pagter is Emeritus Professor of Mathematics at Delft University of Technology, Delft, The Netherlands.

Fedor Sukochev is Professor of Mathematics at the University of New South Wales, Sydney, Australia.